On Skorokhod Convergence

The paper contains a new definition of the $S$-convergence in a $D$-space of functions having only first order discontinuities, which was introduced by A. Skorokhod [1.2]. The new definition applies to a function $f(t)$ of a real variable $t$ which takes on values in an arbitrary metric space. It is proved that the $S$-convergence may be generated by the metric $S(f,g)$ which converts $D$ into a complete metric space.